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114117126749 is a prime number
BaseRepresentation
bin110101001000111101…
…0010010101001011101
3101220120000111200111222
41222101322102221131
53332202441023444
6124231422023125
711146633400303
oct1522172225135
9356500450458
10114117126749
11444401633aa
121a149717aa5
13a9b847a792
145747d06273
152e7d7a6eee
hex1a91e92a5d

114117126749 has 2 divisors, whose sum is σ = 114117126750. Its totient is φ = 114117126748.

The previous prime is 114117126719. The next prime is 114117126769. The reversal of 114117126749 is 947621711411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75344760100 + 38772366649 = 274490^2 + 196907^2 .

It is a cyclic number.

It is not a de Polignac number, because 114117126749 - 212 = 114117122653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114117126719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57058563374 + 57058563375.

It is an arithmetic number, because the mean of its divisors is an integer number (57058563375).

Almost surely, 2114117126749 is an apocalyptic number.

It is an amenable number.

114117126749 is a deficient number, since it is larger than the sum of its proper divisors (1).

114117126749 is an equidigital number, since it uses as much as digits as its factorization.

114117126749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 44.

The spelling of 114117126749 in words is "one hundred fourteen billion, one hundred seventeen million, one hundred twenty-six thousand, seven hundred forty-nine".